Unitary subgroups of commutative group algebras of the characteristic two

DOI10.1007/s11253-020-01829-3zbMath1506.20002arXiv2007.05819OpenAlexW3106717046MaRDI QIDQ2214016

V. Laver, Zsolt Balogh

Publication date: 4 December 2020

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.05819

Mathematics Subject Classification ID

Group rings (16S34) Group rings of finite groups and their modules (group-theoretic aspects) (20C05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Units, groups of units (associative rings and algebras) (16U60)

Related Items (6)

On the isomorphism of unitary subgroups of noncommutative group algebras ⋮ Modular group algebras whose group of unitary units is locally nilpotent ⋮ Unitary units of the group algebra of modular groups ⋮ On the Unitary Subgroups of group algebras ⋮ The order of the unitary subgroups of group algebras ⋮ The unitary subgroups of group algebras of a class of finite p-groups

Uses Software

• GAP

Cites Work

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• Group rings whose unitary units are nilpotent.
• Unitary units in modular group algebras
• Bounded Engel and solvable unitary units in group rings
• The Structure of the Unit Group of the Group Algebra
• On Units of Group Algebras of 2-Groups of Maximal Class
• UNITARY UNITS OF THE GROUP ALGEBRA 𝔽_2^kQ₈
• Unitary units in modular group algebras of 2-groups
• On the order of the unitary subgroup of a modular group algebra
• Unitary and Symmetric Units of a Commutative Group Algebra
• On the order of unitary subgroup of the modular group algebra 𝔽_2^kD_2N

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